Statistical Mechanics of Superconductivity (Graduate Texts in

Statistical Mechanics of Superconductivity (Graduate Texts in Physics)

This book provides a theoretical, step-by-step comprehensive explanation of superconductivity for undergraduate and graduate students who have completed elementary courses on thermodynamics and quantum mechanics. To this end, it adopts the unique approach of starting with the statistical mechanics of quantum ideal gases and successively adding and clarifying elements and techniques indispensible for understanding it. They include the spin-statistics theorem, second quantization, density matrices, the Blochâ€“De Dominicis theorem, the variational principle in statistical mechanics, attractive interaction and bound states. Ample examples of their usage are also provided in terms of topics from advanced statistical mechanics such as two-particle correlations of quantum ideal gases, derivation of the Hartreeâ€“Fock equations, and Landauâ€™s Fermi-liquid theory, among others. With these preliminaries, the fundamental mean-field equations of superconductivity are derived with maximum mathematical clarity based on a coherent state in terms of the Cooper-pair creation operator, a quasiparticle field for describing the excitation and the variational principle in statistical mechanics. They have the advantage that the phase coherence due to the Cooper-pair condensation can be clearly seen making the superfluidity comprehensible naturally. Subsequently, they are applied to homogeneous cases to describe the BCS theory for classic s-wave superconductors and its extension to the p-wave superfluidity of ³He. Later, the mean-field equations are simplified to the Eilenberger and Ginzburgâ€“Landau equations so as to describe inhomogeneous superconductivity such as Abrikosovâ€™s flux-line lattice concisely and transparently. Chapters provide the latest studies on the quasiclassical theory of superconductivity and a discovery of p-wave superfluidity in liquid ³He. The book serves as a standard reference for advanced courses of statistical mechanics with exercises along with detailed answers.
Country USA
Manufacturer Springer
Binding Kindle Edition
ReleaseDate 2015-05-05
Format Kindle eBook

Country	USA
Manufacturer	Springer
Binding	Kindle Edition
ReleaseDate	2015-05-05
Format	Kindle eBook

Statistical Mechanics of Superconductivity (Graduate Texts in Physics)

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